Mathematics 363

Introduction to Statistical Methods

Fall 2014

Course Syllabus

 

Course Textbook

 

session

date

slides/activity

videos

text pages

check points

worksheet

1

26Aug

Introduction

 

vii-x

2

28Aug

Displaying Data 1

Displaying Data 2

A1part1 part2 part3

A2part1 part2 part3

3-19

A1-4,13 A2-9

Sample R Session & Question Sheet

3

2Sep

Describing Distributions with Numbers 1

Describing Distributions with Numbers 2

B1part1 part2

B2part1 part2

21-30

B1-10

B2-7

Describing Distributions with Numbers

tex

4

4Sep

Correlation and Regression 1

Correlation and Regression 2

C1part1 part2

C2part1 part2 part3

31-38

C1-10 C2-10

Correlation and Regression 1

tex

5

9Sep

Correlation and Regression 3

Correlation and Regression 4

C3part1 part2

C4part1 part2

39-46

C3-7

C4-13

Correlation and Regression 2

tex

6

11Sep

Producing Data 1

Producing Data 2

D1part1 part2

D2part1 part2 part3

59-72

D1-8

D2-11

Producing Data

tex

7

16Sep

Basics of Probability 1

Basics of Probability 2

E1part1 part2 part3

E2part1 part2 part3

75-88

E1-4,13 E2-4

Basics of Probability

tex

8

18Sep

Conditional Probability and Independence 1

Conditional Probability and Independence 2

F1part1 part2 part3

 

F2part1 part2 part3

89-100

F1-5,7

Conditional Probability and Independence

tex

9

23Sep

Random Variables and Distribution Functions 1

Random Variables and Distribution Functions 2

G1part1 part2 part3

 

G2part1 part2

101-109

G1-4,10

 

G2-6

Random Variables and Distribution Functions 1

tex

10

25Sep

Random Variables and Distribution Functions 3

The Expected Value 1

G3part1 part2 part3

 

H1part1 part2 part3

110-119

 

121-124

G3-6

 

H1-8,13

Random Variables and Distribution Functions 2

 tex

11

30Sep

The Expected Value 2

The Expected Value 3

H2part1 part2 part3

H3part1 part2 part3

124-134

H2-6,8

H3-5

The Expected Value

tex

12

2Oct

Examples of Mass Functions and Densities 1

Examples of Mass Functions and Densities 2

I1part1 part2

 

I2part1 part2 part3

139-154

I1-5

 

I2-14

Examples of Mass Functions and Densities

tex

13

7Oct

Project Proposal

14

9Oct

Exam 1

15

14Oct

Law of Large Numbers 1

Law of Large Numbers 2

J1part1 part2

J2part1 part2

155-167

J1-4,8

Law of Large Numbers

tex

16

16Oct

Central Limit Theorem 1

Central Limit Theorem 2

K1part1 part2 part3

K2part1 part2 part3

169-184

K1-14,16

Central Limit Theorem 1

tex

 

17

21Oct

Overview of Estimation 1

Overview of Estimation 2

Method of Moments 1

L1part1 part2

L2part1 part2 part3

M1part1 part2

187-189

190-196

197-200

L1-9

L2-11

M1-11

Central Limit Theorem 2

tex

18

23Oct

Method of Moments 2

Unbiased Estimation 1

M2part1 part2

N1part1 part2 part3

200-205

207-211

M2-14

N1-11

Method of Moments 1

tex

19

28Oct

Unbiased Estimation 2

Maximum Likelihood Estimation 1

N2part1 part2 part3

O1part1 part2

211-221

223-225

N2-13

O1-5

Method of Moments 2

tex

20

30Oct

Maximum Likelihood Estimation 2

Maximum Likelihood Estimation 3

Interval Estimation 1

O2part1 part2 part3

O3part1 part2

P1part1 part2 part3

226-232

233-239

240-247

O2-10

O3-9

P1-10

Maximum Likelihood Estimation 1

tex

21

4Nov

Interval Estimation 2

Interval Estimation 3

Simple Hypotheses 1

P2part1 part2

P3part1 part2

Q1part1 part2 part3

247-253

253-258

261-265

P2-7

P3-6,9

Q1-10

Maximum Likelihood Estimation 2

tex

22

6Nov

Simple Hypotheses 2

Simple Hypotheses 3

Composite Hypotheses 1

Q2part1 part2 part3

Q3part1 part2 part3

R1part1 part2 part3

266-272

273-279

281-284

Q2-9

Q3-11

R1-10

Simple Hypotheses

tex

23

11Nov

VeteranŐs Day

 

 

 

 

24

13Nov

Composite Hypotheses 2

Extensions on the Likelihood Ratio 1

R2part1 part2 part3

S1part1 part2 part3

285-293

295-298

R2-6,8

S1-8

Composite Hypotheses

tex

25

18Nov

Extensions on the Likelihood Ratio 2 Extensions on the Likelihood Ratio 3

S2part1 part2 part3

S3part1 part2

299-301

302-309

S2-12

S3-8

Extensions on the Likelihood Ratio

tex

26

20Nov

t Procedures 1

t Procedures 2

Project Preliminary Report

T1part1 part2 part3

T2part1 part2 part3

311-316

317-324

T1-11

T2-10

t Procedures

tex

27

25Nov

Exam 2

 

 

 

 

28

2Dec

Goodness of Fit 1

Goodness of Fit 2

Project Presentations

U1part1 part2 part3

U2part1 part2 part3

329-336

336-343

U1-13

U2-9

 

29

4Dec

Analysis of Variance 1

Analysis of Variance 2

V1part1 part2 part3

V2part1 part2

345-350

350-358

V1-7

V2-8

Goodness of Fit/Analysis of Variance

tex

30

9Dec

Project Presentations